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Finding the Fourth Proportional to 695.75, 960.10 and 412.35

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Solution

The fourth proportional to 695.75, 960.10 and 412.35 is: 569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.75 : 960.10 = 412.35 : x
  2. Step 2: Convert to fraction form
    695.75/960.10 = 412.35/x
  3. Step 3: Cross multiply
    695.75x = 960.10 × 412.35
  4. Step 4: Simplify right side
    695.75x = 395,890.37
  5. Step 5: Solve for x
    x = 395,890.37/695.75
  6. Step 6: Final answer
    x = 569.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.